Low temperatures don't necessarily spoil the fun—neither at the target range nor on the course. There are countless tips and tricks for braving the cold.
Onion
Tried and tested, and used by many. Wear layers of clothing. The more, the better. However, too many layers can also be problematic. Don't restrict your movement too much—it's no fun either.
Creams
Not only the face and hands, but also the rest of the body can be prepared with the fat cream of your choice.
Gloves
Finding the right gloves for archery isn't easy. Lined shooting gloves keep you reasonably warm. Many people have the problem that they're not very snug and therefore don't fit perfectly. Loosening errors and other problems occur. Finger tabs pose similar problems... multiple "layers" between the fingers and the string are simply counterproductive. Some cut cheap work gloves. Simply snip off three fingers and pull the "regular shooting glove" over them. This works quite well up to a certain degree of cold.
Headgear
Sure, fur hoods are great—whether you can still see anything is another question. A wool hood has proven to be a great option for many. You can easily pull the hood of a hoodie worn underneath over it—body heat can circulate upwards and also keep your head warm. However, hoods, caps, and the like shouldn't hinder your shooting—if you can't see, you won't hit anything.
Footwear
Thick shoe soles. The frozen ground cools the body considerably through our feet. Therefore, in subzero temperatures, wear shoes with thick, waterproof soles. Wool or fur insoles keep your feet extra warm. Thin socks underneath and the "wool section" on top also help.
Warm drinks
Bring a thermos of tea or coffee. Warm drinks in between meals are a great help. With or without a shot ;).
Movement
Why not try galloping from target to target? Or doing jumping jacks while waiting for the other shooters?
Exercise is certainly one of the best ways to combat the cold.
Spicy food
Foods seasoned with chili, garlic, or ginger (also in tea) are very effective against the cold. You don't have to hold a competition and place your food above "2" on the Scoville scale.
Hot water bottles & Co.
Simply take a good old hot water bottle or modern "pads" with you to the archery range. Placed under your clothing, they'll last for quite some time. Modern (reusable) pads are available in countless varieties. If that's too cumbersome—stuff two of them in your jacket pockets—you can at least warm your fingers.
A little extra...
This doesn't necessarily have to do with clothing, but it can be important. Many of us type our results into portable phones. These aren't particularly cold-resistant either. Wearing cell phones UNDER clothing protects against surprises. Dead batteries or simply overcooled devices can result.